3. A branch of a certain bank in New York City has six ATMs. Let X represent the number of machines in use at a particular time of day. The edf of X is as follows: 0 ifx<0 0.06 if0≤x 3) (iii) P(2 ≤X ≤ 5) F(x)=
3. A branch of a certain bank in New York City has six ATMs. Let X represent the number of machines in use at a particular time of day. The edf of X is as follows: 0 ifx<0 0.06 if0≤x 3) (iii) P(2 ≤X ≤ 5) F(x)=
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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d)
Find the pdf of Y.
e) Find the cdf of Y.
3. A branch of a certain bank in New York City has six ATMs. Let X
represent the number of machines in use at a particular time of day.
The edf of X is as follows:
F(x)=
0 ifx < 0
0.06 if0<x<l
0.19 ifl ≤x<2
0.39 if2<x<3
0.67 if3 <x<4
0.92 if4 <x<5
0.97 if5 ≤x<6
ifx 26
T
a) Calculate the following probabilities directly from the cdf:
(1) p(2)
(11) P(X> 3)
(111) P(2 ≤X ≤5)
(iv) P(2 < X<5).
b) Find the pmf of X.
4. The probability distribution of the amount of memory X (GB) in a
purchased flash drive is given below.
2
1
p(x) 0.05 0.10
1
S
0.35 0.40
16
0.10
Compute the following: E(X). E(X), V(X). E3X-2). E(3X²-2). V(3X
+2). E(X+1), V(X-1)
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